101201001000990 has 256 divisors, whose sum is σ = 269661865568256. Its totient is φ = 24102575308800.

The previous prime is 101201001000989. The next prime is 101201001001129. The reversal of 101201001000990 is 99000100102101.

It is a self number, because there is not a number n which added to its sum of digits gives 101201001000990.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4068042432 + ... + 4068067308.

It is an arithmetic number, because the mean of its divisors is an integer number (1053366662376).

Almost surely, 2^{101201001000990} is an apocalyptic number.

101201001000990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101201001000990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134830932784128).

101201001000990 is an abundant number, since it is smaller than the sum of its proper divisors (168460864567266).

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

101201001000990 is a wasteful number, since it uses less digits than its factorization.

101201001000990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25923.

The product of its (nonzero) digits is 162, while the sum is 24.

The spelling of 101201001000990 in words is "one hundred one trillion, two hundred one billion, one million, nine hundred ninety", and thus it is an aban number.