100012022021000 has 128 divisors (see below), whose sum is σ = 234987522456960. Its totient is φ = 39840847200000.

The previous prime is 100012022020997. The next prime is 100012022021099. The reversal of 100012022021000 is 120220210001.

It is a happy 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, 2930909939 + ... + 2930944061.

It is an arithmetic number, because the mean of its divisors is an integer number (1835840019195).

Almost surely, 2^{100012022021000} is an apocalyptic number.

100012022021000 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 100012022021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117493761228480).

100012022021000 is an abundant number, since it is smaller than the sum of its proper divisors (134975500435960).

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

100012022021000 is a wasteful number, since it uses less digits than its factorization.

100012022021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46072 (or 46058 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100012022021000 its reverse (120220210001), we get a palindrome (100132242231001).

The spelling of 100012022021000 in words is "one hundred trillion, twelve billion, twenty-two million, twenty-one thousand".