101201121021 has 192 divisors, whose sum is σ = 193597472768. Its totient is φ = 45676224000.

The previous prime is 101201121013. The next prime is 101201121103. The reversal of 101201121021 is 120121102101.

It is not a de Polignac number, because 101201121021 - 2³ = 101201121013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101201120988 and 101201121006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201121421) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37887516 + ... + 37890186.

Almost surely, 2^101201121021 is an apocalyptic number.

101201121021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101201121021 is a deficient number, since it is larger than the sum of its proper divisors (92396351747).

101201121021 is a wasteful number, since it uses less digits than its factorization.

101201121021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2784 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101201121021 its reverse (120121102101), we get a palindrome (221322223122).

It can be divided in two parts, 101201 and 121021, that added together give a palindrome (222222).

The spelling of 101201121021 in words is "one hundred one billion, two hundred one million, one hundred twenty-one thousand, twenty-one".