101212101011100 has 144 divisors (see below), whose sum is σ = 299479891810176. Its totient is φ = 26384104032000.

The previous prime is 101212101011081. The next prime is 101212101011209. The reversal of 101212101011100 is 1110101212101.

It is a super-2 number, since 2×101212101011100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 16586091 + ... + 21852290.

It is an arithmetic number, because the mean of its divisors is an integer number (2079721470904).

Almost surely, 2^{101212101011100} is an apocalyptic number.

101212101011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212101011100 is an abundant number, since it is smaller than the sum of its proper divisors (198267790799076).

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

101212101011100 is a wasteful number, since it uses less digits than its factorization.

101212101011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38438596 (or 38438589 counting only the distinct ones).

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

Adding to 101212101011100 its reverse (1110101212101), we get a palindrome (102322202223201).

The spelling of 101212101011100 in words is "one hundred one trillion, two hundred twelve billion, one hundred one million, eleven thousand, one hundred".