101022002211011 has 16 divisors (see below), whose sum is σ = 116229323640000. Its totient is φ = 86008589987328.

The previous prime is 101022002210977. The next prime is 101022002211103. The reversal of 101022002211011 is 110112200220101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101022002211011 is a prime.

It is a super-2 number, since 2×101022002211011² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101022002211511) 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, 297787415 + ... + 298126463.

It is an arithmetic number, because the mean of its divisors is an integer number (7264332727500).

Almost surely, 2^{101022002211011} is an apocalyptic number.

101022002211011 is a deficient number, since it is larger than the sum of its proper divisors (15207321428989).

101022002211011 is a wasteful number, since it uses less digits than its factorization.

101022002211011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624878.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101022002211011 its reverse (110112200220101), we get a palindrome (211134202431112).

The spelling of 101022002211011 in words is "one hundred one trillion, twenty-two billion, two million, two hundred eleven thousand, eleven".