101220100202000 has 80 divisors (see below), whose sum is σ = 263577140993712. Its totient is φ = 37373575449600.

The previous prime is 101220100201937. The next prime is 101220100202063. The reversal of 101220100202000 is 202001022101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101220100201937) and next prime (101220100202063).

It can be written as a sum of positive squares in 8 ways, for example, as 58512463630336 + 42707636571664 = 7649344^2 + 6535108^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1946514389 + ... + 1946566388.

Almost surely, 2^{101220100202000} is an apocalyptic number.

101220100202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101220100202000 is an abundant number, since it is smaller than the sum of its proper divisors (162357040791712).

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

101220100202000 is a wasteful number, since it uses less digits than its factorization.

101220100202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3893080813 (or 3893080797 counting only the distinct ones).

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

Adding to 101220100202000 its reverse (202001022101), we get a palindrome (101422101224101).

The spelling of 101220100202000 in words is "one hundred one trillion, two hundred twenty billion, one hundred million, two hundred two thousand".