102011293032 has 256 divisors, whose sum is σ = 305293639680. Its totient is φ = 28043366400.

The previous prime is 102011292989. The next prime is 102011293073. The reversal of 102011293032 is 230392110201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 102011292993 and 102011293011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38537133 + ... + 38539779.

It is an arithmetic number, because the mean of its divisors is an integer number (1192553280).

Almost surely, 2^102011293032 is an apocalyptic number.

102011293032 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 102011293032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152646819840).

102011293032 is an abundant number, since it is smaller than the sum of its proper divisors (203282346648).

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

102011293032 is a wasteful number, since it uses less digits than its factorization.

102011293032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2988 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The spelling of 102011293032 in words is "one hundred two billion, eleven million, two hundred ninety-three thousand, thirty-two".