101121221100000 has 144 divisors (see below), whose sum is σ = 331782772262256. Its totient is φ = 26965658880000.

The previous prime is 101121221099989. The next prime is 101121221100019. The reversal of 101121221100000 is 1122121101.

101121221100000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168235369 + ... + 168835368.

It is an arithmetic number, because the mean of its divisors is an integer number (2304047029599).

Almost surely, 2^{101121221100000} is an apocalyptic number.

101121221100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121221100000 is an abundant number, since it is smaller than the sum of its proper divisors (230661551162256).

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

101121221100000 is an frugal number, since it uses more digits than its factorization.

101121221100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337070775 (or 337070747 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101121221100000 its reverse (1122121101), we get a palindrome (101122343221101).

The spelling of 101121221100000 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred twenty-one million, one hundred thousand".