10111201220100 has 72 divisors (see below), whose sum is σ = 29276571991968. Its totient is φ = 2694339084800.

The previous prime is 10111201220063. The next prime is 10111201220117. The reversal of 10111201220100 is 102210211101.

It is a super-2 number, since 2×10111201220100² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11973774 + ... + 12790373.

It is an arithmetic number, because the mean of its divisors is an integer number (406619055444).

Almost surely, 2^{10111201220100} is an apocalyptic number.

10111201220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10111201220100 is an abundant number, since it is smaller than the sum of its proper divisors (19165370771868).

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

10111201220100 is a wasteful number, since it uses less digits than its factorization.

10111201220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24765525 (or 24765518 counting only the distinct ones).

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

Adding to 10111201220100 its reverse (102210211101), we get a palindrome (10213411431201).

The spelling of 10111201220100 in words is "ten trillion, one hundred eleven billion, two hundred one million, two hundred twenty thousand, one hundred".