101127632190144 has 672 divisors, whose sum is σ = 328720909800960. Its totient is φ = 26796353126400.

The previous prime is 101127632190139. The next prime is 101127632190149. The reversal of 101127632190144 is 441091236721101.

It is an interprime number because it is at equal distance from previous prime (101127632190139) and next prime (101127632190149).

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 101127632190096 and 101127632190105.

It is not an unprimeable number, because it can be changed into a prime (101127632190149) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 194102940604 + ... + 194102941124.

Almost surely, 2^{101127632190144} is an apocalyptic number.

101127632190144 is a gapful number since it is divisible by the number (14) 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 101127632190144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164360454900480).

101127632190144 is an abundant number, since it is smaller than the sum of its proper divisors (227593277610816).

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

101127632190144 is an equidigital number, since it uses as much as digits as its factorization.

101127632190144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 966 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 101127632190144 in words is "one hundred one trillion, one hundred twenty-seven billion, six hundred thirty-two million, one hundred ninety thousand, one hundred forty-four".