101101012020112 has 160 divisors (see below), whose sum is σ = 215003348904960. Its totient is φ = 45774694287360.

The previous prime is 101101012020109. The next prime is 101101012020131. The reversal of 101101012020112 is 211020210101101.

It is a happy number.

It is a super-2 number, since 2×101101012020112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 101101012020092 and 101101012020101.

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, 4422411562 + ... + 4422434422.

It is an arithmetic number, because the mean of its divisors is an integer number (1343770930656).

Almost surely, 2^{101101012020112} 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 101101012020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107501674452480).

101101012020112 is an abundant number, since it is smaller than the sum of its proper divisors (113902336884848).

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

101101012020112 is a wasteful number, since it uses less digits than its factorization.

101101012020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24921 (or 24915 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101101012020112 its reverse (211020210101101), we get a palindrome (312121222121213).

The spelling of 101101012020112 in words is "one hundred one trillion, one hundred one billion, twelve million, twenty thousand, one hundred twelve".