101210111202144 has 48 divisors (see below), whose sum is σ = 303630333608448. Its totient is φ = 28917174628992.

The previous prime is 101210111202143. The next prime is 101210111202203. The reversal of 101210111202144 is 441202111012101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-4 number, since 4×101210111202144⁴ (a number of 57 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 101210111202144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101210111202143) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75305141592 + ... + 75305142935.

It is an arithmetic number, because the mean of its divisors is an integer number (6325631950176).

Almost surely, 2^{101210111202144} is an apocalyptic number.

101210111202144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

101210111202144 is an abundant number, since it is smaller than the sum of its proper divisors (202420222406304).

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

101210111202144 is a wasteful number, since it uses less digits than its factorization.

101210111202144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150610284547 (or 150610284539 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 101210111202144 its reverse (441202111012101), we get a palindrome (542412222214245).

The spelling of 101210111202144 in words is "one hundred one trillion, two hundred ten billion, one hundred eleven million, two hundred two thousand, one hundred forty-four".