101220202010000 has 100 divisors (see below), whose sum is σ = 259479774527292. Its totient is φ = 38106428928000.

The previous prime is 101220202009999. The next prime is 101220202010009. The reversal of 101220202010000 is 10202022101.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 57143137438864 + 44077064571136 = 7559308^2 + 6639056^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (101220202010009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 297536477 + ... + 297876476.

Almost surely, 2^{101220202010000} is an apocalyptic number.

101220202010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220202010000 is an abundant number, since it is smaller than the sum of its proper divisors (158259572517292).

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

101220202010000 is an equidigital number, since it uses as much as digits as its factorization.

101220202010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 595412998 (or 595412977 counting only the distinct ones).

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

Adding to 101220202010000 its reverse (10202022101), we get a palindrome (101230404032101).

The spelling of 101220202010000 in words is "one hundred one trillion, two hundred twenty billion, two hundred two million, ten thousand".