101021450992 has 160 divisors (see below), whose sum is σ = 247389880320. Its totient is φ = 38820176640.

The previous prime is 101021450969. The next prime is 101021451059. The reversal of 101021450992 is 299054120101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28005253 + ... + 28008859.

It is an arithmetic number, because the mean of its divisors is an integer number (1546186752).

Almost surely, 2^101021450992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101021450992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123694940160).

101021450992 is an abundant number, since it is smaller than the sum of its proper divisors (146368429328).

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

101021450992 is a wasteful number, since it uses less digits than its factorization.

101021450992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3939 (or 3933 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 34.

The spelling of 101021450992 in words is "one hundred one billion, twenty-one million, four hundred fifty thousand, nine hundred ninety-two".