10101100121312 has 24 divisors (see below), whose sum is σ = 20751173076816. Its totient is φ = 4830960927232.

The previous prime is 10101100121257. The next prime is 10101100121339. The reversal of 10101100121312 is 21312100110101.

It is a super-2 number, since 2×10101100121312² (a number of 27 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 3 ways as a sum of consecutive naturals, for example, 6862159673 + ... + 6862161144.

It is an arithmetic number, because the mean of its divisors is an integer number (864632211534).

Almost surely, 2^{10101100121312} is an apocalyptic number.

It is an amenable number.

10101100121312 is an abundant number, since it is smaller than the sum of its proper divisors (10650072955504).

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

10101100121312 is a wasteful number, since it uses less digits than its factorization.

10101100121312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13724320850 (or 13724320842 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 10101100121312 its reverse (21312100110101), we get a palindrome (31413200231413).

The spelling of 10101100121312 in words is "ten trillion, one hundred one billion, one hundred million, one hundred twenty-one thousand, three hundred twelve".