101212210121120 has 48 divisors (see below), whose sum is σ = 273272967330048. Its totient is φ = 34701329184000.

The previous prime is 101212210121101. The next prime is 101212210121129. The reversal of 101212210121120 is 21121012212101.

It is a super-2 number, since 2×101212210121120² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101212210121129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45184021256 + ... + 45184023495.

It is an arithmetic number, because the mean of its divisors is an integer number (5693186819376).

Almost surely, 2^{101212210121120} is an apocalyptic number.

101212210121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212210121120 is an abundant number, since it is smaller than the sum of its proper divisors (172060757208928).

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

101212210121120 is an equidigital number, since it uses as much as digits as its factorization.

101212210121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90368044773 (or 90368044765 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101212210121120 its reverse (21121012212101), we get a palindrome (122333222333221).

The spelling of 101212210121120 in words is "one hundred one trillion, two hundred twelve billion, two hundred ten million, one hundred twenty-one thousand, one hundred twenty".