1020001101021 has 24 divisors (see below), whose sum is σ = 1683837831104. Its totient is φ = 582848602560.

The previous prime is 1020001100983. The next prime is 1020001101023. The reversal of 1020001101021 is 1201011000201.

It is a happy number.

It is not a de Polignac number, because 1020001101021 - 2¹⁵ = 1020001068253 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1020001100994 and 1020001101012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020001101023) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7620345 + ... + 7753041.

Almost surely, 2^{1020001101021} is an apocalyptic number.

It is an amenable number.

1020001101021 is a deficient number, since it is larger than the sum of its proper divisors (663836730083).

1020001101021 is a wasteful number, since it uses less digits than its factorization.

1020001101021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254721 (or 254718 counting only the distinct ones).

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

Adding to 1020001101021 its reverse (1201011000201), we get a palindrome (2221012101222).

It can be divided in two parts, 102000 and 1101021, that added together give a palindrome (1203021).

The spelling of 1020001101021 in words is "one trillion, twenty billion, one million, one hundred one thousand, twenty-one".