212022112220100 has 1728 divisors, whose sum is σ = 900950170498560. Its totient is φ = 40455902822400.

The previous prime is 212022112219969. The next prime is 212022112220123. The reversal of 212022112220100 is 1022211220212.

It is a happy number.

212022112220100 is a `hidden beast` number, since 2 + 120 + 221 + 1 + 2 + 220 + 100 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3051477360 + ... + 3051546840.

It is an arithmetic number, because the mean of its divisors is an integer number (521383200520).

Almost surely, 2^{212022112220100} is an apocalyptic number.

212022112220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212022112220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450475085249280).

212022112220100 is an abundant number, since it is smaller than the sum of its proper divisors (688928058278460).

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

212022112220100 is a wasteful number, since it uses less digits than its factorization.

212022112220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69630 (or 69620 counting only the distinct ones).

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

Adding to 212022112220100 its reverse (1022211220212), we get a palindrome (213044323440312).

It can be divided in two parts, 212022112 and 220100, that added together give a palindrome (212242212).

The spelling of 212022112220100 in words is "two hundred twelve trillion, twenty-two billion, one hundred twelve million, two hundred twenty thousand, one hundred".