101122112120100 has 144 divisors (see below), whose sum is σ = 300520897889856. Its totient is φ = 26234176320000.

The previous prime is 101122112120077. The next prime is 101122112120123. The reversal of 101122112120100 is 1021211221101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101122112120077) and next prime (101122112120123).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101122112120100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100409050 + ... + 101411150.

Almost surely, 2^{101122112120100} is an apocalyptic number.

101122112120100 is a gapful number since it is divisible by the number (10) 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 101122112120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150260448944928).

101122112120100 is an abundant number, since it is smaller than the sum of its proper divisors (199398785769756).

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

101122112120100 is a wasteful number, since it uses less digits than its factorization.

101122112120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011246 (or 1011239 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101122112120100 its reverse (1021211221101), we get a palindrome (102143323341201).

The spelling of 101122112120100 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twenty thousand, one hundred".