101022012010000 has 50 divisors (see below), whose sum is σ = 244584393301622. Its totient is φ = 40408804800000.

The previous prime is 101022012009991. The next prime is 101022012010009. The reversal of 101022012010000 is 10210220101.

It is an interprime number because it is at equal distance from previous prime (101022012009991) and next prime (101022012010009).

It can be written as a sum of positive squares in 5 ways, for example, as 40568339171584 + 60453672838416 = 6369328^2 + 7775196^2 .

It is a tau number, because it is divible by the number of its divisors (50).

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

It is not an unprimeable number, because it can be changed into a prime (101022012010009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5051090601 + ... + 5051110600.

Almost surely, 2^{101022012010000} is an apocalyptic number.

101022012010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022012010000 is an abundant number, since it is smaller than the sum of its proper divisors (143562381291622).

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

101022012010000 is an equidigital number, since it uses as much as digits as its factorization.

101022012010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10102201229 (or 10102201208 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101022012010000 its reverse (10210220101), we get a palindrome (101032222230101).

The spelling of 101022012010000 in words is "one hundred one trillion, twenty-two billion, twelve million, ten thousand".