10100010102 has 128 divisors (see below), whose sum is σ = 26644875264. Its totient is φ = 2478947328.

The previous prime is 10100010071. The next prime is 10100010113. The reversal of 10100010102 is 20101000101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 453778 + ... + 475514.

It is an arithmetic number, because the mean of its divisors is an integer number (208163088).

Almost surely, 2^10100010102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100010102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13322437632).

10100010102 is an abundant number, since it is smaller than the sum of its proper divisors (16544865162).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10100010102 is a wasteful number, since it uses less digits than its factorization.

10100010102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21822.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10100010102 its reverse (20101000101), we get a palindrome (30201010203).

The spelling of 10100010102 in words is "ten billion, one hundred million, ten thousand, one hundred two".