121122100100 has 36 divisors (see below), whose sum is σ = 262961229300. Its totient is φ = 48425564160.

The previous prime is 121122100091. The next prime is 121122100103. The reversal of 121122100100 is 1001221121.

It can be written as a sum of positive squares in 6 ways, for example, as 18874363456 + 102247736644 = 137384^2 + 319762^2 .

It is not an unprimeable number, because it can be changed into a prime (121122100103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81005 + ... + 498804.

Almost surely, 2^121122100100 is an apocalyptic number.

121122100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121122100100 is an abundant number, since it is smaller than the sum of its proper divisors (141839129200).

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

121122100100 is a wasteful number, since it uses less digits than its factorization.

121122100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 581912 (or 581905 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 121122100100 its reverse (1001221121), we get a palindrome (122123321221).

The spelling of 121122100100 in words is "one hundred twenty-one billion, one hundred twenty-two million, one hundred thousand, one hundred".