101122121000 has 32 divisors (see below), whose sum is σ = 236625765480. Its totient is φ = 40448848000.

The previous prime is 101122120999. The next prime is 101122121053. The reversal of 101122121000 is 121221101.

It can be written as a sum of positive squares in 4 ways, for example, as 24735111076 + 76387009924 = 157274^2 + 276382^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50560061 + ... + 50562060.

Almost surely, 2^101122121000 is an apocalyptic number.

101122121000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122121000 is an abundant number, since it is smaller than the sum of its proper divisors (135503644480).

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

101122121000 is a wasteful number, since it uses less digits than its factorization.

101122121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101122142 (or 101122128 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101122121000 its reverse (121221101), we get a palindrome (101243342101).

The spelling of 101122121000 in words is "one hundred one billion, one hundred twenty-two million, one hundred twenty-one thousand".