20020102110100 has 72 divisors (see below), whose sum is σ = 46005551815608. Its totient is φ = 7535927193600.

The previous prime is 20020102110059. The next prime is 20020102110109. The reversal of 20020102110100 is 101120102002.

It can be written as a sum of positive squares in 12 ways, for example, as 8612217576964 + 11407884533136 = 2934658^2 + 3377556^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20020102110109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11409490 + ... + 13046710.

It is an arithmetic number, because the mean of its divisors is an integer number (638965997439).

Almost surely, 2^{20020102110100} is an apocalyptic number.

20020102110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20020102110100 is an abundant number, since it is smaller than the sum of its proper divisors (25985449705508).

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

20020102110100 is a wasteful number, since it uses less digits than its factorization.

20020102110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644445 (or 1644438 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20020102110100 its reverse (101120102002), we get a palindrome (20121222212102).

The spelling of 20020102110100 in words is "twenty trillion, twenty billion, one hundred two million, one hundred ten thousand, one hundred".