101335577252000 has 384 divisors, whose sum is σ = 306486034702848. Its totient is φ = 32066095104000.

The previous prime is 101335577251973. The next prime is 101335577252047. The reversal of 101335577252000 is 252775533101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2898514520 + ... + 2898549480.

It is an arithmetic number, because the mean of its divisors is an integer number (798140715372).

Almost surely, 2^{101335577252000} is an apocalyptic number.

101335577252000 is a gapful number since it is divisible by the number (10) 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 101335577252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153243017351424).

101335577252000 is an abundant number, since it is smaller than the sum of its proper divisors (205150457450848).

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

101335577252000 is a wasteful number, since it uses less digits than its factorization.

101335577252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42969 (or 42951 counting only the distinct ones).

The product of its (nonzero) digits is 220500, while the sum is 41.

The spelling of 101335577252000 in words is "one hundred one trillion, three hundred thirty-five billion, five hundred seventy-seven million, two hundred fifty-two thousand".