101121100212120 has 128 divisors (see below), whose sum is σ = 316728790064640. Its totient is φ = 25778885299200.

The previous prime is 101121100212107. The next prime is 101121100212127. The reversal of 101121100212120 is 21212001121101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101121100212120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121100212127) 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, 5200834 + ... + 15142353.

It is an arithmetic number, because the mean of its divisors is an integer number (2474443672380).

Almost surely, 2^{101121100212120} is an apocalyptic number.

101121100212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101121100212120 is an abundant number, since it is smaller than the sum of its proper divisors (215607689852520).

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

101121100212120 is a wasteful number, since it uses less digits than its factorization.

101121100212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20345025 (or 20345021 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101121100212120 its reverse (21212001121101), we get a palindrome (122333101333221).

The spelling of 101121100212120 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred million, two hundred twelve thousand, one hundred twenty".