10122013211310 has 1152 divisors, whose sum is σ = 37057530077568. Its totient is φ = 1882911744000.

The previous prime is 10122013211243. The next prime is 10122013211363. The reversal of 10122013211310 is 1311231022101.

10122013211310 is a `hidden beast` number, since 1 + 0 + 1 + 220 + 132 + 1 + 1 + 310 = 666.

It is a super-2 number, since 2×10122013211310² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 10756655440 + ... + 10756656380.

It is an arithmetic number, because the mean of its divisors is an integer number (32167994859).

Almost surely, 2^{10122013211310} is an apocalyptic number.

10122013211310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10122013211310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18528765038784).

10122013211310 is an abundant number, since it is smaller than the sum of its proper divisors (26935516866258).

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

10122013211310 is a wasteful number, since it uses less digits than its factorization.

10122013211310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1490 (or 1480 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10122013211310 its reverse (1311231022101), we get a palindrome (11433244233411).

The spelling of 10122013211310 in words is "ten trillion, one hundred twenty-two billion, thirteen million, two hundred eleven thousand, three hundred ten".