101022010001 has 16 divisors (see below), whose sum is σ = 110970544128. Its totient is φ = 91201593600.

The previous prime is 101022009943. The next prime is 101022010003. The reversal of 101022010001 is 100010220101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101022010001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101022010003) 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, 3219056 + ... + 3250286.

It is an arithmetic number, because the mean of its divisors is an integer number (6935659008).

Almost surely, 2^101022010001 is an apocalyptic number.

101022010001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101022010001 is a deficient number, since it is larger than the sum of its proper divisors (9948534127).

101022010001 is a wasteful number, since it uses less digits than its factorization.

101022010001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33272.

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101022010001 its reverse (100010220101), we get a palindrome (201032230102).

The spelling of 101022010001 in words is "one hundred one billion, twenty-two million, ten thousand, one".