101950095312 has 800 divisors, whose sum is σ = 348457697280. Its totient is φ = 28531077120.

The previous prime is 101950095311. The next prime is 101950095337. The reversal of 101950095312 is 213590059101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101950095311) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 802756593 + ... + 802756719.

Almost surely, 2^101950095312 is an apocalyptic number.

101950095312 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 101950095312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174228848640).

101950095312 is an abundant number, since it is smaller than the sum of its proper divisors (246507601968).

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

101950095312 is a wasteful number, since it uses less digits than its factorization.

101950095312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

The spelling of 101950095312 in words is "one hundred one billion, nine hundred fifty million, ninety-five thousand, three hundred twelve".