101020421911888 has 160 divisors (see below), whose sum is σ = 209052619776000. Its totient is φ = 47151934202880.

The previous prime is 101020421911867. The next prime is 101020421911901. The reversal of 101020421911888 is 888119124020101.

It is a happy number.

It is a super-2 number, since 2×101020421911888² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38601611956 + ... + 38601614572.

It is an arithmetic number, because the mean of its divisors is an integer number (1306578873600).

Almost surely, 2^{101020421911888} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101020421911888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104526309888000).

101020421911888 is an abundant number, since it is smaller than the sum of its proper divisors (108032197864112).

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

101020421911888 is a wasteful number, since it uses less digits than its factorization.

101020421911888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5313 (or 5307 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 46.

Adding to 101020421911888 its reverse (888119124020101), we get a palindrome (989139545931989).

The spelling of 101020421911888 in words is "one hundred one trillion, twenty billion, four hundred twenty-one million, nine hundred eleven thousand, eight hundred eighty-eight".