102211001011000 has 128 divisors (see below), whose sum is σ = 287727810739200. Its totient is φ = 33199362691200.

The previous prime is 102211001010983. The next prime is 102211001011027. The reversal of 102211001011000 is 110100112201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

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, 384118884 + ... + 384384883.

It is an arithmetic number, because the mean of its divisors is an integer number (2247873521400).

Almost surely, 2^{102211001011000} is an apocalyptic number.

102211001011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211001011000 is an abundant number, since it is smaller than the sum of its proper divisors (185516809728200).

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

102211001011000 is a wasteful number, since it uses less digits than its factorization.

102211001011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 768503814 (or 768503800 counting only the distinct ones).

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

Adding to 102211001011000 its reverse (110100112201), we get a palindrome (102321101123201).

The spelling of 102211001011000 in words is "one hundred two trillion, two hundred eleven billion, one million, eleven thousand".