101012211001 has 8 divisors (see below), whose sum is σ = 109859435784. Its totient is φ = 92318851200.

The previous prime is 101012210951. The next prime is 101012211011. The reversal of 101012211001 is 100112210101.

It can be written as a sum of positive squares in 4 ways, for example, as 59817419776 + 41194791225 = 244576^2 + 202965^2 .

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 101012211001 - 2¹⁵ = 101012178233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101012211011) 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, 38464876 + ... + 38467501.

It is an arithmetic number, because the mean of its divisors is an integer number (13732429473).

Almost surely, 2^101012211001 is an apocalyptic number.

It is an amenable number.

101012211001 is a deficient number, since it is larger than the sum of its proper divisors (8847224783).

101012211001 is a wasteful number, since it uses less digits than its factorization.

101012211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76932491.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101012211001 its reverse (100112210101), we get a palindrome (201124421102).

The spelling of 101012211001 in words is "one hundred one billion, twelve million, two hundred eleven thousand, one".