101012100201 has 48 divisors (see below), whose sum is σ = 154727314560. Its totient is φ = 63389034240.

The previous prime is 101012100181. The next prime is 101012100221. The reversal of 101012100201 is 102001210101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101012100181) and next prime (101012100221).

It is not a de Polignac number, because 101012100201 - 2⁵ = 101012100169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (101012100221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22330726 + ... + 22335248.

It is an arithmetic number, because the mean of its divisors is an integer number (3223485720).

Almost surely, 2^101012100201 is an apocalyptic number.

It is an amenable number.

101012100201 is a deficient number, since it is larger than the sum of its proper divisors (53715214359).

101012100201 is a wasteful number, since it uses less digits than its factorization.

101012100201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6686 (or 6683 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101012100201 its reverse (102001210101), we get a palindrome (203013310302).

The spelling of 101012100201 in words is "one hundred one billion, twelve million, one hundred thousand, two hundred one".