101012201009 has 8 divisors (see below), whose sum is σ = 108056716488. Its totient is φ = 94090199040.

The previous prime is 101012200999. The next prime is 101012201011. The reversal of 101012201009 is 900102210101.

It can be written as a sum of positive squares in 4 ways, for example, as 7087114225 + 93925086784 = 84185^2 + 306472^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101012201009 - 2³² = 96717233713 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101012201309) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30626672 + ... + 30629969.

It is an arithmetic number, because the mean of its divisors is an integer number (13507089561).

Almost surely, 2^101012201009 is an apocalyptic number.

It is an amenable number.

101012201009 is a deficient number, since it is larger than the sum of its proper divisors (7044515479).

101012201009 is an equidigital number, since it uses as much as digits as its factorization.

101012201009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61256755.

The product of its (nonzero) digits is 36, while the sum is 17.

The spelling of 101012201009 in words is "one hundred one billion, twelve million, two hundred one thousand, nine".