201010102101 has 48 divisors (see below), whose sum is σ = 314861624064. Its totient is φ = 123089252352.

The previous prime is 201010102063. The next prime is 201010102103. The reversal of 201010102101 is 101201010102.

It is a happy number.

It is not a de Polignac number, because 201010102101 - 2⁶ = 201010102037 is a prime.

It is a super-2 number, since 2×201010102101² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201010102103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2498830 + ... + 2578016.

It is an arithmetic number, because the mean of its divisors is an integer number (6559617168).

Almost surely, 2^201010102101 is an apocalyptic number.

It is an amenable number.

201010102101 is a deficient number, since it is larger than the sum of its proper divisors (113851521963).

201010102101 is a wasteful number, since it uses less digits than its factorization.

201010102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79610 (or 79607 counting only the distinct ones).

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

Adding to 201010102101 its reverse (101201010102), we get a palindrome (302211112203).

It can be divided in two parts, 201010102 and 101, that multiplied together give a palindrome (20302020302).

The spelling of 201010102101 in words is "two hundred one billion, ten million, one hundred two thousand, one hundred one".