101122020121212 has 144 divisors (see below), whose sum is σ = 260839396490400. Its totient is φ = 33025331404800.

The previous prime is 101122020121207. The next prime is 101122020121217. The reversal of 101122020121212 is 212121020221101.

101122020121212 is a `hidden beast` number, since 1 + 0 + 11 + 220 + 201 + 21 + 212 = 666.

It is an interprime number because it is at equal distance from previous prime (101122020121207) and next prime (101122020121217).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122020121217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4009742739 + ... + 4009767957.

It is an arithmetic number, because the mean of its divisors is an integer number (1811384697850).

Almost surely, 2^{101122020121212} is an apocalyptic number.

101122020121212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101122020121212 is an abundant number, since it is smaller than the sum of its proper divisors (159717376369188).

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

101122020121212 is a wasteful number, since it uses less digits than its factorization.

101122020121212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36796 (or 36791 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101122020121212 its reverse (212121020221101), we get a palindrome (313243040342313).

The spelling of 101122020121212 in words is "one hundred one trillion, one hundred twenty-two billion, twenty million, one hundred twenty-one thousand, two hundred twelve".