1000101012001 has 16 divisors (see below), whose sum is σ = 1231184128384. Its totient is φ = 791101914624.

The previous prime is 1000101011957. The next prime is 1000101012073. The reversal of 1000101012001 is 1002101010001.

It is not a de Polignac number, because 1000101012001 - 2¹³ = 1000101003809 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is not an unprimeable number, because it can be changed into a prime (1000101042001) 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, 908976 + ... + 1681201.

It is an arithmetic number, because the mean of its divisors is an integer number (76949008024).

Almost surely, 2^{1000101012001} is an apocalyptic number.

It is an amenable number.

1000101012001 is a deficient number, since it is larger than the sum of its proper divisors (231083116383).

1000101012001 is a wasteful number, since it uses less digits than its factorization.

1000101012001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2594440.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1000101012001 its reverse (1002101010001), we get a palindrome (2002202022002).

The spelling of 1000101012001 in words is "one trillion, one hundred one million, twelve thousand, one".