101012120001 has 12 divisors (see below), whose sum is σ = 157129964628. Its totient is φ = 62161304544.

The previous prime is 101012119993. The next prime is 101012120003. The reversal of 101012120001 is 100021210101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5731247025 + 95280872976 = 75705^2 + 308676^2 .

It is not a de Polignac number, because 101012120001 - 2³ = 101012119993 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (101012120003) 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, 431675610 + ... + 431675843.

It is an arithmetic number, because the mean of its divisors is an integer number (13094163719).

Almost surely, 2^101012120001 is an apocalyptic number.

It is an amenable number.

101012120001 is a deficient number, since it is larger than the sum of its proper divisors (56117844627).

101012120001 is a wasteful number, since it uses less digits than its factorization.

101012120001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863351472 (or 863351469 counting only the distinct ones).

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

Adding to 101012120001 its reverse (100021210101), we get a palindrome (201033330102).

The spelling of 101012120001 in words is "one hundred one billion, twelve million, one hundred twenty thousand, one".