100111022100100 has 72 divisors (see below), whose sum is σ = 237827513877408. Its totient is φ = 36275371852800.

The previous prime is 100111022100083. The next prime is 100111022100107. The reversal of 100111022100100 is 1001220111001.

It is a super-2 number, since 2×100111022100100² (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (100111022100107) 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, 160483789 + ... + 161106388.

It is an arithmetic number, because the mean of its divisors is an integer number (3303159914964).

Almost surely, 2^{100111022100100} is an apocalyptic number.

100111022100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100111022100100 is an abundant number, since it is smaller than the sum of its proper divisors (137716491777308).

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

100111022100100 is a wasteful number, since it uses less digits than its factorization.

100111022100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321590485 (or 321590478 counting only the distinct ones).

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

Adding to 100111022100100 its reverse (1001220111001), we get a palindrome (101112242211101).

The spelling of 100111022100100 in words is "one hundred trillion, one hundred eleven billion, twenty-two million, one hundred thousand, one hundred".