101012101020001 has 32 divisors (see below), whose sum is σ = 102405390530688. Its totient is φ = 99631620518400.

The previous prime is 101012101019909. The next prime is 101012101020029. The reversal of 101012101020001 is 100020101210101.

It is a cyclic number.

It is not a de Polignac number, because 101012101020001 - 2¹⁷ = 101012100888929 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101012101020001.

It is not an unprimeable number, because it can be changed into a prime (101012101020601) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16300158435 + ... + 16300164631.

It is an arithmetic number, because the mean of its divisors is an integer number (3200168454084).

Almost surely, 2^{101012101020001} is an apocalyptic number.

It is an amenable number.

101012101020001 is a deficient number, since it is larger than the sum of its proper divisors (1393289510687).

101012101020001 is a wasteful number, since it uses less digits than its factorization.

101012101020001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7921.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101012101020001 its reverse (100020101210101), we get a palindrome (201032202230102).

The spelling of 101012101020001 in words is "one hundred one trillion, twelve billion, one hundred one million, twenty thousand, one".