101011121221020 has 48 divisors (see below), whose sum is σ = 299468265270048. Its totient is φ = 25351810816000.

The previous prime is 101011121220929. The next prime is 101011121221061. The reversal of 101011121221020 is 20122121110101.

It is a happy number.

It is a super-2 number, since 2×101011121221020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 49515254481 + ... + 49515256520.

It is an arithmetic number, because the mean of its divisors is an integer number (6238922193126).

Almost surely, 2^{101011121221020} is an apocalyptic number.

101011121221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011121221020 is an abundant number, since it is smaller than the sum of its proper divisors (198457144049028).

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

101011121221020 is a wasteful number, since it uses less digits than its factorization.

101011121221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99030511030 (or 99030511028 counting only the distinct ones).

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

Adding to 101011121221020 its reverse (20122121110101), we get a palindrome (121133242331121).

The spelling of 101011121221020 in words is "one hundred one trillion, eleven billion, one hundred twenty-one million, two hundred twenty-one thousand, twenty".