100102211001 has 48 divisors (see below), whose sum is σ = 166078143504. Its totient is φ = 57554399232.

The previous prime is 100102210973. The next prime is 100102211021. The reversal of 100102211001 is 100112201001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 13150355625 + 86951855376 = 114675^2 + 294876^2 .

It is not a de Polignac number, because 100102211001 - 2¹⁴ = 100102194617 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100102211021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88815 + ... + 456171.

It is an arithmetic number, because the mean of its divisors is an integer number (3459961323).

Almost surely, 2^100102211001 is an apocalyptic number.

It is an amenable number.

100102211001 is a deficient number, since it is larger than the sum of its proper divisors (65975932503).

100102211001 is a wasteful number, since it uses less digits than its factorization.

100102211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367530 (or 367527 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100102211001 its reverse (100112201001), we get a palindrome (200214412002).

The spelling of 100102211001 in words is "one hundred billion, one hundred two million, two hundred eleven thousand, one".