10220111012100 has 144 divisors (see below), whose sum is σ = 33660925562880. Its totient is φ = 2369880796800.

The previous prime is 10220111012093. The next prime is 10220111012101. The reversal of 10220111012100 is 121011102201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (10220111012101) 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, 67250260 + ... + 67402059.

It is an arithmetic number, because the mean of its divisors is an integer number (233756427520).

Almost surely, 2^{10220111012100} is an apocalyptic number.

10220111012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10220111012100 is an abundant number, since it is smaller than the sum of its proper divisors (23440814550780).

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

10220111012100 is a wasteful number, since it uses less digits than its factorization.

10220111012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134652370 (or 134652363 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10220111012100 its reverse (121011102201), we get a palindrome (10341122114301).

The spelling of 10220111012100 in words is "ten trillion, two hundred twenty billion, one hundred eleven million, twelve thousand, one hundred".