10012102101 has 18 divisors (see below), whose sum is σ = 15118050038. Its totient is φ = 6384525840.

The previous prime is 10012102091. The next prime is 10012102109. The reversal of 10012102101 is 10120121001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 10010002500 + 2099601 = 100050^2 + 1449^2 .

It is not a de Polignac number, because 10012102101 - 2¹¹ = 10012100053 is a prime.

It is a super-2 number, since 2×10012102101² (a number of 21 digits) contains 22 as substring.

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

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012102109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1046710 + ... + 1056231.

Almost surely, 2^10012102101 is an apocalyptic number.

It is an amenable number.

10012102101 is a deficient number, since it is larger than the sum of its proper divisors (5105947937).

10012102101 is a wasteful number, since it uses less digits than its factorization.

10012102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2102993 (or 2102967 counting only the distinct ones).

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

Adding to 10012102101 its reverse (10120121001), we get a palindrome (20132223102).

The spelling of 10012102101 in words is "ten billion, twelve million, one hundred two thousand, one hundred one".