101110000002120 has 192 divisors, whose sum is σ = 355251352248000. Its totient is φ = 24853211887104.

The previous prime is 101110000002113. The next prime is 101110000002161. The reversal of 101110000002120 is 21200000011101.

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 47 ways as a sum of consecutive naturals, for example, 199505890 + ... + 200012049.

It is an arithmetic number, because the mean of its divisors is an integer number (1850267459625).

Almost surely, 2^{101110000002120} is an apocalyptic number.

101110000002120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101110000002120 is an abundant number, since it is smaller than the sum of its proper divisors (254141352245880).

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

101110000002120 is a wasteful number, since it uses less digits than its factorization.

101110000002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399518012 (or 399518005 counting only the distinct ones).

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

Adding to 101110000002120 its reverse (21200000011101), we get a palindrome (122310000013221).

The spelling of 101110000002120 in words is "one hundred one trillion, one hundred ten billion, two thousand, one hundred twenty".