101111001001002 has 64 divisors (see below), whose sum is σ = 228532521571200. Its totient is φ = 33127621188480.

The previous prime is 101111001000991. The next prime is 101111001001019. The reversal of 101111001001002 is 200100100111101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19743502 + ... + 24331622.

It is an arithmetic number, because the mean of its divisors is an integer number (3570820649550).

Almost surely, 2^{101111001001002} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101111001001002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114266260785600).

101111001001002 is an abundant number, since it is smaller than the sum of its proper divisors (127421520570198).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101111001001002 is a wasteful number, since it uses less digits than its factorization.

101111001001002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4595108 (or 4595102 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101111001001002 its reverse (200100100111101), we get a palindrome (301211101112103).

The spelling of 101111001001002 in words is "one hundred one trillion, one hundred eleven billion, one million, one thousand, two".