1002102101 has 32 divisors (see below), whose sum is σ = 1348171776. Its totient is φ = 719352000.

The previous prime is 1002102097. The next prime is 1002102109. The reversal of 1002102101 is 1012012001.

It is a cyclic number.

It is not a de Polignac number, because 1002102101 - 2² = 1002102097 is a prime.

It is a super-2 number, since 2×1002102101² = 2008417241657228402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002102109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 971456 + ... + 972486.

It is an arithmetic number, because the mean of its divisors is an integer number (42130368).

Almost surely, 2^1002102101 is an apocalyptic number.

1002102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1002102101 is a deficient number, since it is larger than the sum of its proper divisors (346069675).

1002102101 is a wasteful number, since it uses less digits than its factorization.

1002102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033.

The product of its (nonzero) digits is 4, while the sum is 8.

The square root of 1002102101 is about 31655.9962882232. The cubic root of 1002102101 is about 1000.7002099250.

Adding to 1002102101 its reverse (1012012001), we get a palindrome (2014114102).

The spelling of 1002102101 in words is "one billion, two million, one hundred two thousand, one hundred one".