101122110011100 has 144 divisors (see below), whose sum is σ = 307816504170336. Its totient is φ = 25597158912000.

The previous prime is 101122110011057. The next prime is 101122110011107. The reversal of 101122110011100 is 1110011221101.

It is a super-2 number, since 2×101122110011100² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122110011107) 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, 110643681 + ... + 111553880.

It is an arithmetic number, because the mean of its divisors is an integer number (2137614612294).

Almost surely, 2^{101122110011100} is an apocalyptic number.

101122110011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122110011100 is an abundant number, since it is smaller than the sum of its proper divisors (206694394159236).

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

101122110011100 is a wasteful number, since it uses less digits than its factorization.

101122110011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222197656 (or 222197649 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101122110011100 its reverse (1110011221101), we get a palindrome (102232121232201).

The spelling of 101122110011100 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred ten million, eleven thousand, one hundred".