101292426144 has 576 divisors, whose sum is σ = 372251303424. Its totient is φ = 25393471488.

The previous prime is 101292426097. The next prime is 101292426227. The reversal of 101292426144 is 441624292101.

101292426144 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 92 + 426 + 144 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 101292426099 and 101292426108.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 118748022 + ... + 118748874.

It is an arithmetic number, because the mean of its divisors is an integer number (646269624).

Almost surely, 2^101292426144 is an apocalyptic number.

101292426144 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 101292426144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186125651712).

101292426144 is an abundant number, since it is smaller than the sum of its proper divisors (270958877280).

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

101292426144 is a wasteful number, since it uses less digits than its factorization.

101292426144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1098 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 101292426144 in words is "one hundred one billion, two hundred ninety-two million, four hundred twenty-six thousand, one hundred forty-four".