20110100010100 has 72 divisors (see below), whose sum is σ = 44595328216320. Its totient is φ = 7867957480320.

The previous prime is 20110100010071. The next prime is 20110100010113. The reversal of 20110100010100 is 101000101102.

It is a super-2 number, since 2×20110100010100² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6166281 + ... + 8845519.

It is an arithmetic number, because the mean of its divisors is an integer number (619379558560).

Almost surely, 2^{20110100010100} is an apocalyptic number.

20110100010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20110100010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22297664108160).

20110100010100 is an abundant number, since it is smaller than the sum of its proper divisors (24485228206220).

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

20110100010100 is a wasteful number, since it uses less digits than its factorization.

20110100010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2680897 (or 2680890 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 20110100010100 its reverse (101000101102), we get a palindrome (20211100111202).

The spelling of 20110100010100 in words is "twenty trillion, one hundred ten billion, one hundred million, ten thousand, one hundred".