1012100101 has 16 divisors (see below), whose sum is σ = 1048481280. Its totient is φ = 976494960.

The previous prime is 1012100039. The next prime is 1012100123. The reversal of 1012100101 is 1010012101.

It is a cyclic number.

It is not a de Polignac number, because 1012100101 - 2⁷ = 1012099973 is a prime.

It is a super-2 number, since 2×1012100101² = 2048693228888420402, which 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 (1012100501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1285630 + ... + 1286416.

It is an arithmetic number, because the mean of its divisors is an integer number (65530080).

Almost surely, 2^1012100101 is an apocalyptic number.

It is an amenable number.

1012100101 is a deficient number, since it is larger than the sum of its proper divisors (36381179).

1012100101 is an equidigital number, since it uses as much as digits as its factorization.

1012100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224.

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

The square root of 1012100101 is about 31813.5207262573. The cubic root of 1012100101 is about 1004.0172074346.

Adding to 1012100101 its reverse (1010012101), we get a palindrome (2022112202).

The spelling of 1012100101 in words is "one billion, twelve million, one hundred thousand, one hundred one".