120000102101 has 6 divisors (see below), whose sum is σ = 131900938806. Its totient is φ = 109091001800.

The previous prime is 120000102083. The next prime is 120000102121. The reversal of 120000102101 is 101201000021.

It can be written as a sum of positive squares in only one way, i.e., 119986032100 + 14070001 = 346390^2 + 3751^2 .

It is not a de Polignac number, because 120000102101 - 2¹⁸ = 119999839957 is a prime.

It is a super-2 number, since 2×120000102101² (a number of 23 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 (120000102121) 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, 495868070 + ... + 495868311.

It is an arithmetic number, because the mean of its divisors is an integer number (21983489801).

Almost surely, 2^120000102101 is an apocalyptic number.

120000102101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

120000102101 is a deficient number, since it is larger than the sum of its proper divisors (11900836705).

120000102101 is an equidigital number, since it uses as much as digits as its factorization.

120000102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991736403 (or 991736392 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 120000102101 its reverse (101201000021), we get a palindrome (221201102122).

The spelling of 120000102101 in words is "one hundred twenty billion, one hundred two thousand, one hundred one".