101100102121212 has 24 divisors (see below), whose sum is σ = 235986998284800. Its totient is φ = 33687639754416.

The previous prime is 101100102121171. The next prime is 101100102121253. The reversal of 101100102121212 is 212121201001101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101100102121171) and next prime (101100102121253).

It is a junction number, because it is equal to n+sod(n) for n = 101100102121191 and 101100102121200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1549251762 + ... + 1549317017.

It is an arithmetic number, because the mean of its divisors is an integer number (9832791595200).

Almost surely, 2^{101100102121212} is an apocalyptic number.

101100102121212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101100102121212 is an abundant number, since it is smaller than the sum of its proper divisors (134886896163588).

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

101100102121212 is a wasteful number, since it uses less digits than its factorization.

101100102121212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3098571505 (or 3098571503 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101100102121212 its reverse (212121201001101), we get a palindrome (313221303122313).

The spelling of 101100102121212 in words is "one hundred one trillion, one hundred billion, one hundred two million, one hundred twenty-one thousand, two hundred twelve".