1022101211001 has 128 divisors (see below), whose sum is σ = 1643410944000. Its totient is φ = 558931608576.

The previous prime is 1022101210993. The next prime is 1022101211167. The reversal of 1022101211001 is 1001121012201.

It is not a de Polignac number, because 1022101211001 - 2³ = 1022101210993 is a prime.

It is a super-3 number, since 3×1022101211001³ (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1022101212001) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 511817335 + ... + 511819331.

It is an arithmetic number, because the mean of its divisors is an integer number (12839148000).

Almost surely, 2^{1022101211001} is an apocalyptic number.

It is an amenable number.

1022101211001 is a deficient number, since it is larger than the sum of its proper divisors (621309732999).

1022101211001 is a wasteful number, since it uses less digits than its factorization.

1022101211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2623.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1022101211001 its reverse (1001121012201), we get a palindrome (2023222223202).

The spelling of 1022101211001 in words is "one trillion, twenty-two billion, one hundred one million, two hundred eleven thousand, one".