101112121001010 has 96 divisors (see below), whose sum is σ = 282300342488640. Its totient is φ = 23110375145088.

The previous prime is 101112121000997. The next prime is 101112121001053. The reversal of 101112121001010 is 10100121211101.

It is a super-2 number, since 2×101112121001010² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34010656 + ... + 36863924.

It is an arithmetic number, because the mean of its divisors is an integer number (2940628567590).

Almost surely, 2^{101112121001010} is an apocalyptic number.

101112121001010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101112121001010 is an abundant number, since it is smaller than the sum of its proper divisors (181188221487630).

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

101112121001010 is a wasteful number, since it uses less digits than its factorization.

101112121001010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877400 (or 2877393 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101112121001010 its reverse (10100121211101), we get a palindrome (111212242212111).

The spelling of 101112121001010 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty-one million, one thousand, ten".