101292912 has 90 divisors (see below), whose sum is σ = 325001768. Its totient is φ = 28849536.

The previous prime is 101292901. The next prime is 101292923. The reversal of 101292912 is 219292101.

It is an interprime number because it is at equal distance from previous prime (101292901) and next prime (101292923).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 319378 + ... + 319694.

Almost surely, 2^101292912 is an apocalyptic number.

101292912 is a gapful number since it is divisible by the number (12) 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 101292912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162500884).

101292912 is an abundant number, since it is smaller than the sum of its proper divisors (223708856).

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

101292912 is an equidigital number, since it uses as much as digits as its factorization.

101292912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 101292912 is about 10064.4379872897. The cubic root of 101292912 is about 466.1507123023.

It can be divided in two parts, 10129 and 2912, that added together give a triangular number (13041 = T₁₆₁).

The spelling of 101292912 in words is "one hundred one million, two hundred ninety-two thousand, nine hundred twelve".