101001202101 has 24 divisors (see below), whose sum is σ = 151322595424. Its totient is φ = 67321400400.

The previous prime is 101001202033. The next prime is 101001202129. The reversal of 101001202101 is 101202100101.

It is a happy number.

It is not a de Polignac number, because 101001202101 - 2⁹ = 101001201589 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001202171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1348890 + ... + 1421796.

Almost surely, 2^101001202101 is an apocalyptic number.

It is an amenable number.

101001202101 is a deficient number, since it is larger than the sum of its proper divisors (50321393323).

101001202101 is an frugal number, since it uses more digits than its factorization.

101001202101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78623 (or 78611 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101001202101 its reverse (101202100101), we get a palindrome (202203302202).

It can be divided in two parts, 10100 and 1202101, that added together give a square (1212201 = 1101²).

The spelling of 101001202101 in words is "one hundred one billion, one million, two hundred two thousand, one hundred one".