121001120100 has 216 divisors, whose sum is σ = 433709115840. Its totient is φ = 27641053440.

The previous prime is 121001120039. The next prime is 121001120111. The reversal of 121001120100 is 1021100121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13030059 + ... + 13039341.

Almost surely, 2^121001120100 is an apocalyptic number.

121001120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121001120100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216854557920).

121001120100 is an abundant number, since it is smaller than the sum of its proper divisors (312707995740).

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

121001120100 is a wasteful number, since it uses less digits than its factorization.

121001120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11379 (or 11369 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 121001120100 its reverse (1021100121), we get a palindrome (122022220221).

The spelling of 121001120100 in words is "one hundred twenty-one billion, one million, one hundred twenty thousand, one hundred".