2115101140992 has 1152 divisors, whose sum is σ = 7889352307200. Its totient is φ = 556095504384.

The previous prime is 2115101140973. The next prime is 2115101141059. The reversal of 2115101140992 is 2990411015112.

2115101140992 is a `hidden beast` number, since 2 + 1 + 1 + 510 + 11 + 40 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2164893208 + ... + 2164894184.

It is an arithmetic number, because the mean of its divisors is an integer number (6848396100).

Almost surely, 2^{2115101140992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2115101140992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3944676153600).

2115101140992 is an abundant number, since it is smaller than the sum of its proper divisors (5774251166208).

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

2115101140992 is a wasteful number, since it uses less digits than its factorization.

2115101140992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 36.

The spelling of 2115101140992 in words is "two trillion, one hundred fifteen billion, one hundred one million, one hundred forty thousand, nine hundred ninety-two".