100102011000012 has 288 divisors, whose sum is σ = 307332463261824. Its totient is φ = 26818318540800.

The previous prime is 100102010999917. The next prime is 100102011000037. The reversal of 100102011000012 is 210000110201001.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 100102010999958 and 100102011000003.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1289586562 + ... + 1289664182.

It is an arithmetic number, because the mean of its divisors is an integer number (1067126608548).

Almost surely, 2^{100102011000012} is an apocalyptic number.

100102011000012 is a gapful number since it is divisible by the number (12) 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 100102011000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153666231630912).

100102011000012 is an abundant number, since it is smaller than the sum of its proper divisors (207230452261812).

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

100102011000012 is a wasteful number, since it uses less digits than its factorization.

100102011000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78769 (or 78764 counting only the distinct ones).

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

Adding to 100102011000012 its reverse (210000110201001), we get a palindrome (310102121201013).

The spelling of 100102011000012 in words is "one hundred trillion, one hundred two billion, eleven million, twelve", and thus it is an aban number.