121210101120 has 256 divisors, whose sum is σ = 394890552000. Its totient is φ = 31612698624.

The previous prime is 121210101119. The next prime is 121210101121. The reversal of 121210101120 is 21101012121.

It is an interprime number because it is at equal distance from previous prime (121210101119) and next prime (121210101121).

It is a super-2 number, since 2×121210101120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 121210101096 and 121210101105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121210101121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35512534 + ... + 35515946.

Almost surely, 2^121210101120 is an apocalyptic number.

121210101120 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 121210101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197445276000).

121210101120 is an abundant number, since it is smaller than the sum of its proper divisors (273680450880).

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

121210101120 is a wasteful number, since it uses less digits than its factorization.

121210101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3837 (or 3825 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 121210101120 its reverse (21101012121), we get a palindrome (142311113241).

The spelling of 121210101120 in words is "one hundred twenty-one billion, two hundred ten million, one hundred one thousand, one hundred twenty".