101011012100992 has 128 divisors (see below), whose sum is σ = 230407094404800. Its totient is φ = 43210165616640.

The previous prime is 101011012100963. The next prime is 101011012101011. The reversal of 101011012100992 is 299001210110101.

It is a happy number.

101011012100992 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 101011012100992.

It is a congruent number.

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, 1829451178 + ... + 1829506390.

Almost surely, 2^{101011012100992} 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 101011012100992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115203547202400).

101011012100992 is an abundant number, since it is smaller than the sum of its proper divisors (129396082303808).

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

101011012100992 is an equidigital number, since it uses as much as digits as its factorization.

101011012100992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58984 (or 58972 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 28.

The spelling of 101011012100992 in words is "one hundred one trillion, eleven billion, twelve million, one hundred thousand, nine hundred ninety-two".