101121101011120 has 40 divisors (see below), whose sum is σ = 235109852537616. Its totient is φ = 40447873920768.

The previous prime is 101121101011103. The next prime is 101121101011123. The reversal of 101121101011120 is 21110101121101.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×101121101011120² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101121101011120.

It is not an unprimeable number, because it can be changed into a prime (101121101011123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3080022 + ... + 14550901.

Almost surely, 2^{101121101011120} is an apocalyptic number.

101121101011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121101011120 is an abundant number, since it is smaller than the sum of its proper divisors (133988751526496).

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

101121101011120 is a wasteful number, since it uses less digits than its factorization.

101121101011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17702629 (or 17702623 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101121101011120 its reverse (21110101121101), we get a palindrome (122231202132221).

The spelling of 101121101011120 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred one million, eleven thousand, one hundred twenty".