100121202212220 has 144 divisors (see below), whose sum is σ = 347091122589120. Its totient is φ = 22884563478528.

The previous prime is 100121202212197. The next prime is 100121202212231. The reversal of 100121202212220 is 22212202121001.

It is a happy number.

100121202212220 is a `hidden beast` number, since 10 + 0 + 1 + 21 + 202 + 212 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 100121202212193 and 100121202212202.

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, 111704974 + ... + 112597706.

It is an arithmetic number, because the mean of its divisors is an integer number (2410355017980).

Almost surely, 2^{100121202212220} is an apocalyptic number.

100121202212220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121202212220 is an abundant number, since it is smaller than the sum of its proper divisors (246969920376900).

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

100121202212220 is a wasteful number, since it uses less digits than its factorization.

100121202212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 981764 (or 981759 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 100121202212220 its reverse (22212202121001), we get a palindrome (122333404333221).

The spelling of 100121202212220 in words is "one hundred trillion, one hundred twenty-one billion, two hundred two million, two hundred twelve thousand, two hundred twenty".