101034101021 has 12 divisors (see below), whose sum is σ = 124442963388. Its totient is φ = 81506500992.

The previous prime is 101034100961. The next prime is 101034101053. The reversal of 101034101021 is 120101430101.

It can be written as a sum of positive squares in 2 ways, for example, as 80662248121 + 20371852900 = 284011^2 + 142730^2 .

It is not a de Polignac number, because 101034101021 - 2²² = 101029906717 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101034100987 and 101034101005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101034101821) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60643886 + ... + 60645551.

It is an arithmetic number, because the mean of its divisors is an integer number (10370246949).

Almost surely, 2^101034101021 is an apocalyptic number.

It is an amenable number.

101034101021 is a deficient number, since it is larger than the sum of its proper divisors (23408862367).

101034101021 is a wasteful number, since it uses less digits than its factorization.

101034101021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121289468 (or 121289461 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 101034101021 its reverse (120101430101), we get a palindrome (221135531122).

The spelling of 101034101021 in words is "one hundred one billion, thirty-four million, one hundred one thousand, twenty-one".