101202012120001 has 16 divisors (see below), whose sum is σ = 110052563328400. Its totient is φ = 92504742398208.

The previous prime is 101202012119963. The next prime is 101202012120067. The reversal of 101202012120001 is 100021210202101.

It can be written as a sum of positive squares in 8 ways, for example, as 3822713190976 + 97379298929025 = 1955176^2 + 9868095^2 .

It is a cyclic number.

It is not a de Polignac number, because 101202012120001 - 2⁴⁵ = 66017640031169 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101202012120401) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19031046 + ... + 23760991.

It is an arithmetic number, because the mean of its divisors is an integer number (6878285208025).

Almost surely, 2^{101202012120001} is an apocalyptic number.

It is an amenable number.

101202012120001 is a deficient number, since it is larger than the sum of its proper divisors (8850551208399).

101202012120001 is a wasteful number, since it uses less digits than its factorization.

101202012120001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42793828.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101202012120001 its reverse (100021210202101), we get a palindrome (201223222322102).

The spelling of 101202012120001 in words is "one hundred one trillion, two hundred two billion, twelve million, one hundred twenty thousand, one".