101120021000 has 32 divisors (see below), whose sum is σ = 236620851480. Its totient is φ = 40448008000.

The previous prime is 101120020987. The next prime is 101120021021. The reversal of 101120021000 is 120021101.

It can be written as a sum of positive squares in 4 ways, for example, as 28477912516 + 72642108484 = 168754^2 + 269522^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

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, 50559011 + ... + 50561010.

Almost surely, 2^101120021000 is an apocalyptic number.

101120021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120021000 is an abundant number, since it is smaller than the sum of its proper divisors (135500830480).

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

101120021000 is a wasteful number, since it uses less digits than its factorization.

101120021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101120042 (or 101120028 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101120021000 its reverse (120021101), we get a palindrome (101240042101).

The spelling of 101120021000 in words is "one hundred one billion, one hundred twenty million, twenty-one thousand".