101234022001 has 12 divisors (see below), whose sum is σ = 117973479348. Its totient is φ = 86616210912.

The previous prime is 101234021989. The next prime is 101234022023. The reversal of 101234022001 is 100220432101.

It can be written as a sum of positive squares in 2 ways, for example, as 5267275776 + 95966746225 = 72576^2 + 309785^2 .

It is not a de Polignac number, because 101234022001 - 2⁹ = 101234021489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101234022091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1827286 + ... + 1881871.

It is an arithmetic number, because the mean of its divisors is an integer number (9831123279).

Almost surely, 2^101234022001 is an apocalyptic number.

It is an amenable number.

101234022001 is a deficient number, since it is larger than the sum of its proper divisors (16739457347).

101234022001 is an equidigital number, since it uses as much as digits as its factorization.

101234022001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3709728 (or 3709721 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 101234022001 its reverse (100220432101), we get a palindrome (201454454102).

The spelling of 101234022001 in words is "one hundred one billion, two hundred thirty-four million, twenty-two thousand, one".