100210011120101 has 6 divisors (see below), whose sum is σ = 101494549003302. Its totient is φ = 98941529960520.

The previous prime is 100210011120091. The next prime is 100210011120113. The reversal of 100210011120101 is 101021110012001.

It can be written as a sum of positive squares in only one way, i.e., 89773066768225 + 10436944351876 = 9474865^2 + 3230626^2 .

It is a de Polignac number, because none of the positive numbers 2^k-100210011120101 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210011120161) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8028355490 + ... + 8028367971.

It is an arithmetic number, because the mean of its divisors is an integer number (16915758167217).

Almost surely, 2^{100210011120101} is an apocalyptic number.

It is an amenable number.

100210011120101 is a deficient number, since it is larger than the sum of its proper divisors (1284537883201).

100210011120101 is an frugal number, since it uses more digits than its factorization.

100210011120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16056723619 (or 16056723540 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100210011120101 its reverse (101021110012001), we get a palindrome (201231121132102).

The spelling of 100210011120101 in words is "one hundred trillion, two hundred ten billion, eleven million, one hundred twenty thousand, one hundred one".