121121012010100 has 36 divisors (see below), whose sum is σ = 262891488492864. Its totient is φ = 48437549056480.

The previous prime is 121121012010079. The next prime is 121121012010109. The reversal of 121121012010100 is 1010210121121.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121121012010109) 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, 135248314 + ... + 136140913.

It is an arithmetic number, because the mean of its divisors is an integer number (7302541347024).

Almost surely, 2^{121121012010100} is an apocalyptic number.

121121012010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121121012010100 is an abundant number, since it is smaller than the sum of its proper divisors (141770476482764).

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

121121012010100 is a wasteful number, since it uses less digits than its factorization.

121121012010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271393704 (or 271393697 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 121121012010100 its reverse (1010210121121), we get a palindrome (122131222131221).

The spelling of 121121012010100 in words is "one hundred twenty-one trillion, one hundred twenty-one billion, twelve million, ten thousand, one hundred".