112101070959900 has 972 divisors, whose sum is σ = 411304530840840. Its totient is φ = 25513382400000.

The previous prime is 112101070959877. The next prime is 112101070960013. The reversal of 112101070959900 is 9959070101211.

It is a super-2 number, since 2×112101070959900² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 13186805650 + ... + 13186814150.

Almost surely, 2^{112101070959900} is an apocalyptic number.

112101070959900 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 112101070959900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205652265420420).

112101070959900 is an abundant number, since it is smaller than the sum of its proper divisors (299203459880940).

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

112101070959900 is a wasteful number, since it uses less digits than its factorization.

112101070959900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8996 (or 8958 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 45.

The spelling of 112101070959900 in words is "one hundred twelve trillion, one hundred one billion, seventy million, nine hundred fifty-nine thousand, nine hundred".