1020012101001 has 16 divisors (see below), whose sum is σ = 1563236937600. Its totient is φ = 656559512784.

The previous prime is 1020012100973. The next prime is 1020012101027. The reversal of 1020012101001 is 1001012100201.

It is a happy number.

It is not a de Polignac number, because 1020012101001 - 2⁷ = 1020012100873 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 (1020012100001) 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, 651347941 + ... + 651349506.

It is an arithmetic number, because the mean of its divisors is an integer number (97702308600).

Almost surely, 2^{1020012101001} is an apocalyptic number.

It is an amenable number.

1020012101001 is a deficient number, since it is larger than the sum of its proper divisors (543224836599).

1020012101001 is a wasteful number, since it uses less digits than its factorization.

1020012101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302697485 (or 1302697479 counting only the distinct ones).

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

Adding to 1020012101001 its reverse (1001012100201), we get a palindrome (2021024201202).

The spelling of 1020012101001 in words is "one trillion, twenty billion, twelve million, one hundred one thousand, one".