101122002012220 has 72 divisors (see below), whose sum is σ = 257766892143264. Its totient is φ = 33162991956864.

The previous prime is 101122002012193. The next prime is 101122002012247. The reversal of 101122002012220 is 22210200221101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101122002012193) and next prime (101122002012247).

It is a junction number, because it is equal to n+sod(n) for n = 101122002012194 and 101122002012203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2243145207 + ... + 2243190286.

It is an arithmetic number, because the mean of its divisors is an integer number (3580095724212).

Almost surely, 2^{101122002012220} is an apocalyptic number.

101122002012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101122002012220 is an abundant number, since it is smaller than the sum of its proper divisors (156644890131044).

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

101122002012220 is a wasteful number, since it uses less digits than its factorization.

101122002012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4486335539 (or 4486335530 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 101122002012220 its reverse (22210200221101), we get a palindrome (123332202233321).

The spelling of 101122002012220 in words is "one hundred one trillion, one hundred twenty-two billion, two million, twelve thousand, two hundred twenty".