10121100021120 has 192 divisors, whose sum is σ = 35460445774320. Its totient is φ = 2453599948800.

The previous prime is 10121100021119. The next prime is 10121100021121. The reversal of 10121100021120 is 2112000112101.

It is an interprime number because it is at equal distance from previous prime (10121100021119) and next prime (10121100021121).

It is a tau number, because it is divible by the number of its divisors (192).

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 = 10121100021096 and 10121100021105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121100021121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21550351 + ... + 22014990.

Almost surely, 2^{10121100021120} is an apocalyptic number.

10121100021120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121100021120 is an abundant number, since it is smaller than the sum of its proper divisors (25339345753200).

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

10121100021120 is a wasteful number, since it uses less digits than its factorization.

10121100021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43565385 (or 43565362 counting only the distinct ones).

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

Adding to 10121100021120 its reverse (2112000112101), we get a palindrome (12233100133221).

The spelling of 10121100021120 in words is "ten trillion, one hundred twenty-one billion, one hundred million, twenty-one thousand, one hundred twenty".