20112010110100 has 72 divisors (see below), whose sum is σ = 46205615463840. Its totient is φ = 7577338884480.

The previous prime is 20112010110091. The next prime is 20112010110109. The reversal of 20112010110100 is 101101021102.

It is an interprime number because it is at equal distance from previous prime (20112010110091) and next prime (20112010110109).

It is a super-2 number, since 2×20112010110100² (a number of 27 digits) contains 22 as substring.

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 (20112010110109) 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, 30264562 + ... + 30921961.

It is an arithmetic number, because the mean of its divisors is an integer number (641744659220).

Almost surely, 2^{20112010110100} is an apocalyptic number.

20112010110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20112010110100 is an abundant number, since it is smaller than the sum of its proper divisors (26093605353740).

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

20112010110100 is a wasteful number, since it uses less digits than its factorization.

20112010110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61186729 (or 61186722 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 20112010110100 its reverse (101101021102), we get a palindrome (20213111131202).

The spelling of 20112010110100 in words is "twenty trillion, one hundred twelve billion, ten million, one hundred ten thousand, one hundred".