121900101120 has 800 divisors, whose sum is σ = 503442295488. Its totient is φ = 27614380032.

The previous prime is 121900101097. The next prime is 121900101149. The reversal of 121900101120 is 21101009121.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 121900101093 and 121900101102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 198857934 + ... + 198858546.

Almost surely, 2^121900101120 is an apocalyptic number.

121900101120 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 121900101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251721147744).

121900101120 is an abundant number, since it is smaller than the sum of its proper divisors (381542194368).

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

121900101120 is an equidigital number, since it uses as much as digits as its factorization.

121900101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

The spelling of 121900101120 in words is "one hundred twenty-one billion, nine hundred million, one hundred one thousand, one hundred twenty".