10212961175088 has 160 divisors (see below), whose sum is σ = 31947786210816. Its totient is φ = 2744488341504.

The previous prime is 10212961175057. The next prime is 10212961175143. The reversal of 10212961175088 is 88057116921201.

It is a happy number.

It is a super-5 number, since 5×10212961175088⁵ (a number of 66 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 10212961175088.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7868070 + ... + 9073722.

Almost surely, 2^{10212961175088} 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 10212961175088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15973893105408).

10212961175088 is an abundant number, since it is smaller than the sum of its proper divisors (21734825035728).

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

10212961175088 is a wasteful number, since it uses less digits than its factorization.

10212961175088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207171 (or 1207165 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 51.

The spelling of 10212961175088 in words is "ten trillion, two hundred twelve billion, nine hundred sixty-one million, one hundred seventy-five thousand, eighty-eight".