101102110211001 has 8 divisors (see below), whose sum is σ = 134811107706240. Its totient is φ = 67397259761552.

The previous prime is 101102110210973. The next prime is 101102110211029. The reversal of 101102110211001 is 100112011201101.

It is an interprime number because it is at equal distance from previous prime (101102110210973) and next prime (101102110211029).

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 101102110211001 - 2¹⁵ = 101102110178233 is a prime.

It is a super-3 number, since 3×101102110211001³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101102110211701) 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, 1036704561 + ... + 1036802078.

It is an arithmetic number, because the mean of its divisors is an integer number (16851388463280).

Almost surely, 2^{101102110211001} is an apocalyptic number.

It is an amenable number.

101102110211001 is a deficient number, since it is larger than the sum of its proper divisors (33708997495239).

101102110211001 is a wasteful number, since it uses less digits than its factorization.

101102110211001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2073522895.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101102110211001 its reverse (100112011201101), we get a palindrome (201214121412102).

The spelling of 101102110211001 in words is "one hundred one trillion, one hundred two billion, one hundred ten million, two hundred eleven thousand, one".