212111100020120 has 128 divisors (see below), whose sum is σ = 555576711782400. Its totient is φ = 71383187437056.

The previous prime is 212111100020101. The next prime is 212111100020123. The reversal of 212111100020120 is 21020001111212.

It is a super-2 number, since 2×212111100020120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 212111100020095 and 212111100020104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212111100020123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29210552 + ... + 35741831.

It is an arithmetic number, because the mean of its divisors is an integer number (4340443060800).

Almost surely, 2^{212111100020120} is an apocalyptic number.

212111100020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212111100020120 is an abundant number, since it is smaller than the sum of its proper divisors (343465611762280).

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

212111100020120 is a wasteful number, since it uses less digits than its factorization.

212111100020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64952617 (or 64952613 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212111100020120 its reverse (21020001111212), we get a palindrome (233131101131332).

The spelling of 212111100020120 in words is "two hundred twelve trillion, one hundred eleven billion, one hundred million, twenty thousand, one hundred twenty".