101210220111120 has 80 divisors (see below), whose sum is σ = 313756803666240. Its totient is φ = 26988951485952.

The previous prime is 101210220111103. The next prime is 101210220111179. The reversal of 101210220111120 is 21111022012101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×101210220111120³ (a number of 43 digits) contains 333 as substring.

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 101210220111120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11425722 + ... + 18247398.

It is an arithmetic number, because the mean of its divisors is an integer number (3921960045828).

Almost surely, 2^{101210220111120} is an apocalyptic number.

101210220111120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210220111120 is an abundant number, since it is smaller than the sum of its proper divisors (212546583555120).

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

101210220111120 is a wasteful number, since it uses less digits than its factorization.

101210220111120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6883512 (or 6883506 counting only the distinct ones).

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

Adding to 101210220111120 its reverse (21111022012101), we get a palindrome (122321242123221).

The spelling of 101210220111120 in words is "one hundred one trillion, two hundred ten billion, two hundred twenty million, one hundred eleven thousand, one hundred twenty".