101025112000000 has 560 divisors, whose sum is σ = 256537303467984. Its totient is φ = 39739392000000.

The previous prime is 101025111999937. The next prime is 101025112000049. The reversal of 101025112000000 is 211520101.

It is a super-2 number, since 2×101025112000000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 163735999692 + ... + 163736000308.

Almost surely, 2^{101025112000000} is an apocalyptic number.

101025112000000 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 101025112000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128268651733992).

101025112000000 is an abundant number, since it is smaller than the sum of its proper divisors (155512191467984).

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

101025112000000 is an frugal number, since it uses more digits than its factorization.

101025112000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 973 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 13.

Adding to 101025112000000 its reverse (211520101), we get a palindrome (101025323520101).

The spelling of 101025112000000 in words is "one hundred one trillion, twenty-five billion, one hundred twelve million", and thus it is an aban number.