101121000011100 has 216 divisors, whose sum is σ = 344673100790928. Its totient is φ = 24693458688000.

The previous prime is 101121000011093. The next prime is 101121000011147. The reversal of 101121000011100 is 1110000121101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 88747626 + ... + 89879825.

It is an arithmetic number, because the mean of its divisors is an integer number (1595708799958).

Almost surely, 2^{101121000011100} is an apocalyptic number.

101121000011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121000011100 is an abundant number, since it is smaller than the sum of its proper divisors (243552100779828).

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

101121000011100 is a wasteful number, since it uses less digits than its factorization.

101121000011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178627525 (or 178627515 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101121000011100 its reverse (1110000121101), we get a palindrome (102231000132201).

The spelling of 101121000011100 in words is "one hundred one trillion, one hundred twenty-one billion, eleven thousand, one hundred".