121020101212100 has 72 divisors (see below), whose sum is σ = 263025281195208. Its totient is φ = 48332166220800.

The previous prime is 121020101212067. The next prime is 121020101212111. The reversal of 121020101212100 is 1212101020121.

It can be written as a sum of positive squares in 12 ways, for example, as 29101363906624 + 91918737305476 = 5394568^2 + 9587426^2 .

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, 1595417774 + ... + 1595493626.

It is an arithmetic number, because the mean of its divisors is an integer number (3653128905489).

Almost surely, 2^{121020101212100} is an apocalyptic number.

121020101212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121020101212100 is an abundant number, since it is smaller than the sum of its proper divisors (142005179983108).

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

121020101212100 is a wasteful number, since it uses less digits than its factorization.

121020101212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100665 (or 100658 counting only the distinct ones).

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

Adding to 121020101212100 its reverse (1212101020121), we get a palindrome (122232202232221).

The spelling of 121020101212100 in words is "one hundred twenty-one trillion, twenty billion, one hundred one million, two hundred twelve thousand, one hundred".