10101022100000 has 144 divisors (see below), whose sum is σ = 26768426851656. Its totient is φ = 3729607680000.

The previous prime is 10101022099991. The next prime is 10101022100009. The reversal of 10101022100000 is 122010101.

It is an interprime number because it is at equal distance from previous prime (10101022099991) and next prime (10101022100009).

It can be written as a sum of positive squares in 12 ways, for example, as 3992947111696 + 6108074988304 = 1998236^2 + 2471452^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (10101022100009) 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, 2585009 + ... + 5185008.

Almost surely, 2^{10101022100000} is an apocalyptic number.

10101022100000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101022100000 is an abundant number, since it is smaller than the sum of its proper divisors (16667404751656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10101022100000 is an frugal number, since it uses more digits than its factorization.

10101022100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7770065 (or 7770037 counting only the distinct ones).

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

Adding to 10101022100000 its reverse (122010101), we get a palindrome (10101144110101).

The spelling of 10101022100000 in words is "ten trillion, one hundred one billion, twenty-two million, one hundred thousand".