101921201000 has 64 divisors (see below), whose sum is σ = 238685363280. Its totient is φ = 40736044800.

The previous prime is 101921200999. The next prime is 101921201069. The reversal of 101921201000 is 102129101.

It is a Cunningham number, because it is equal to 319251²-1.

It can be written as a sum of positive squares in 8 ways, for example, as 31750250596 + 70170950404 = 178186^2 + 264898^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 101921201000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1237094 + ... + 1316906.

Almost surely, 2^101921201000 is an apocalyptic number.

101921201000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101921201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119342681640).

101921201000 is an abundant number, since it is smaller than the sum of its proper divisors (136764162280).

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

101921201000 is a wasteful number, since it uses less digits than its factorization.

101921201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81111 (or 81097 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 101921201000 in words is "one hundred one billion, nine hundred twenty-one million, two hundred one thousand".