20101022000010 has 96 divisors (see below), whose sum is σ = 59780646162432. Its totient is φ = 4590527385600.

The previous prime is 20101022000009. The next prime is 20101022000011. The reversal of 20101022000010 is 1000022010102.

It is an interprime number because it is at equal distance from previous prime (20101022000009) and next prime (20101022000011).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20101021999956 and 20101022000001.

It is not an unprimeable number, because it can be changed into a prime (20101022000011) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13135159 + ... + 14585418.

It is an arithmetic number, because the mean of its divisors is an integer number (622715064192).

Almost surely, 2^{20101022000010} is an apocalyptic number.

20101022000010 is an abundant number, since it is smaller than the sum of its proper divisors (39679624162422).

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

20101022000010 is a wasteful number, since it uses less digits than its factorization.

20101022000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27721748 (or 27721745 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20101022000010 its reverse (1000022010102), we get a palindrome (21101044010112).

The spelling of 20101022000010 in words is "twenty trillion, one hundred one billion, twenty-two million, ten", and thus it is an aban number.