101101211121120 has 576 divisors, whose sum is σ = 371723015172096. Its totient is φ = 23030435635200.

The previous prime is 101101211121107. The next prime is 101101211121137. The reversal of 101101211121120 is 21121112101101.

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 101101211121120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8580254749 + ... + 8580266531.

It is an arithmetic number, because the mean of its divisors is an integer number (645352456896).

Almost surely, 2^{101101211121120} is an apocalyptic number.

101101211121120 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 101101211121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185861507586048).

101101211121120 is an abundant number, since it is smaller than the sum of its proper divisors (270621804050976).

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

101101211121120 is a wasteful number, since it uses less digits than its factorization.

101101211121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13023 (or 13008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101101211121120 its reverse (21121112101101), we get a palindrome (122222323222221).

The spelling of 101101211121120 in words is "one hundred one trillion, one hundred one billion, two hundred eleven million, one hundred twenty-one thousand, one hundred twenty".