10100210000101 has 8 divisors (see below), whose sum is σ = 10900743921144. Its totient is φ = 9303046749120.

The previous prime is 10100210000071. The next prime is 10100210000113. The reversal of 10100210000101 is 10100001200101.

It can be written as a sum of positive squares in 4 ways, for example, as 23839051201 + 10076370948900 = 154399^2 + 3174330^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10100210000101 - 2⁷ = 10100209999973 is a prime.

It is a super-2 number, since 2×10100210000101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100210000131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 842661286 + ... + 842673271.

It is an arithmetic number, because the mean of its divisors is an integer number (1362592990143).

Almost surely, 2^{10100210000101} is an apocalyptic number.

It is an amenable number.

10100210000101 is a deficient number, since it is larger than the sum of its proper divisors (800533921043).

10100210000101 is a wasteful number, since it uses less digits than its factorization.

10100210000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685335031.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10100210000101 its reverse (10100001200101), we get a palindrome (20200211200202).

The spelling of 10100210000101 in words is "ten trillion, one hundred billion, two hundred ten million, one hundred one", and thus it is an aban number.