10100010100002 has 128 divisors (see below), whose sum is σ = 21524370278400. Its totient is φ = 3155183539200.

The previous prime is 10100010099983. The next prime is 10100010100003. The reversal of 10100010100002 is 20000101000101.

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

It is not an unprimeable number, because it can be changed into a prime (10100010100003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 214637377 + ... + 214684427.

It is an arithmetic number, because the mean of its divisors is an integer number (168159142800).

Almost surely, 2^{10100010100002} is an apocalyptic number.

10100010100002 is an abundant number, since it is smaller than the sum of its proper divisors (11424360178398).

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

10100010100002 is a wasteful number, since it uses less digits than its factorization.

10100010100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47448.

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

Adding to 10100010100002 its reverse (20000101000101), we get a palindrome (30100111100103).

Subtracting 10100010100002 from its reverse (20000101000101), we obtain a palindrome (9900090900099).

The spelling of 10100010100002 in words is "ten trillion, one hundred billion, ten million, one hundred thousand, two".