20101000010102 has 64 divisors (see below), whose sum is σ = 34302723105024. Its totient is φ = 8753349171840.

The previous prime is 20101000010093. The next prime is 20101000010123.

20101000010102 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×20101000010102² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20101000010102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173770628 + ... + 173886264.

It is an arithmetic number, because the mean of its divisors is an integer number (535980048516).

Almost surely, 2^{20101000010102} is an apocalyptic number.

20101000010102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20101000010102 is a deficient number, since it is larger than the sum of its proper divisors (14201723094922).

20101000010102 is a wasteful number, since it uses less digits than its factorization.

20101000010102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119213.

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

It can be divided in two parts, 201010000 and 10102, that added together give a palindrome (201020102).

The spelling of 20101000010102 in words is "twenty trillion, one hundred one billion, ten thousand, one hundred two".