101121100100120 has 128 divisors (see below), whose sum is σ = 231066699494400. Its totient is φ = 39823167960576.

The previous prime is 101121100100077. The next prime is 101121100100123. The reversal of 101121100100120 is 21001001121101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121100100123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4269042917 + ... + 4269066603.

It is an arithmetic number, because the mean of its divisors is an integer number (1805208589800).

Almost surely, 2^{101121100100120} is an apocalyptic number.

101121100100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121100100120 is an abundant number, since it is smaller than the sum of its proper divisors (129945599394280).

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

101121100100120 is a wasteful number, since it uses less digits than its factorization.

101121100100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29977 (or 29973 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101121100100120 its reverse (21001001121101), we get a palindrome (122122101221221).

The spelling of 101121100100120 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred million, one hundred thousand, one hundred twenty".