10110002121120 has 192 divisors, whose sum is σ = 34743828026880. Its totient is φ = 2450755507200.

The previous prime is 10110002121103. The next prime is 10110002121137. The reversal of 10110002121120 is 2112120001101.

It is an interprime number because it is at equal distance from previous prime (10110002121103) and next prime (10110002121137).

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 = 10110002121096 and 10110002121105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 99524755 + ... + 99626285.

It is an arithmetic number, because the mean of its divisors is an integer number (180957437640).

Almost surely, 2^{10110002121120} is an apocalyptic number.

10110002121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10110002121120 is an abundant number, since it is smaller than the sum of its proper divisors (24633825905760).

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

10110002121120 is a wasteful number, since it uses less digits than its factorization.

10110002121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120419 (or 120411 counting only the distinct ones).

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

Adding to 10110002121120 its reverse (2112120001101), we get a palindrome (12222122122221).

The spelling of 10110002121120 in words is "ten trillion, one hundred ten billion, two million, one hundred twenty-one thousand, one hundred twenty".