100102200011000 has 256 divisors, whose sum is σ = 259277910128640. Its totient is φ = 35868000000000.

The previous prime is 100102200010979. The next prime is 100102200011003. The reversal of 100102200011000 is 110002201001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102200011003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1429976000 + ... + 1430046000.

It is an arithmetic number, because the mean of its divisors is an integer number (1012804336440).

Almost surely, 2^{100102200011000} is an apocalyptic number.

100102200011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100102200011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129638955064320).

100102200011000 is an abundant number, since it is smaller than the sum of its proper divisors (159175710117640).

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

100102200011000 is a wasteful number, since it uses less digits than its factorization.

100102200011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71935 (or 71921 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 100102200011000 its reverse (110002201001), we get a palindrome (100212202212001).

The spelling of 100102200011000 in words is "one hundred trillion, one hundred two billion, two hundred million, eleven thousand".