100021000011012 has 18 divisors (see below), whose sum is σ = 252830861139038. Its totient is φ = 33340333336992.

The previous prime is 100021000010977. The next prime is 100021000011041. The reversal of 100021000011012 is 210110000120001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 55629908434116 + 44391091576896 = 7458546^2 + 6662664^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 = 100021000010985 and 100021000011003.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1389180555673 + ... + 1389180555744.

Almost surely, 2^{100021000011012} is an apocalyptic number.

100021000011012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100021000011012 is an abundant number, since it is smaller than the sum of its proper divisors (152809861128026).

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

100021000011012 is a wasteful number, since it uses less digits than its factorization.

100021000011012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778361111427 (or 2778361111422 counting only the distinct ones).

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

Adding to 100021000011012 its reverse (210110000120001), we get a palindrome (310131000131013).

The spelling of 100021000011012 in words is "one hundred trillion, twenty-one billion, eleven thousand, twelve".