20020102010100 has 108 divisors (see below), whose sum is σ = 63070435632204. Its totient is φ = 5311593853440.

The previous prime is 20020102010099. The next prime is 20020102010137. The reversal of 20020102010100 is 101020102002.

It can be written as a sum of positive squares in 6 ways, for example, as 128466330084 + 19891635680016 = 358422^2 + 4460004^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 56280969 + ... + 56635568.

It is an arithmetic number, because the mean of its divisors is an integer number (583985515113).

Almost surely, 2^{20020102010100} is an apocalyptic number.

20020102010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20020102010100 is an abundant number, since it is smaller than the sum of its proper divisors (43050333622104).

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

20020102010100 is a wasteful number, since it uses less digits than its factorization.

20020102010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112916754 (or 112916744 counting only the distinct ones).

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

Adding to 20020102010100 its reverse (101020102002), we get a palindrome (20121122112102).

The spelling of 20020102010100 in words is "twenty trillion, twenty billion, one hundred two million, ten thousand, one hundred".