101001022000200 has 192 divisors, whose sum is σ = 397591324848000. Its totient is φ = 23085947877120.

The previous prime is 101001022000157. The next prime is 101001022000259. The reversal of 101001022000200 is 2000220100101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1335954555 + ... + 1336030154.

It is an arithmetic number, because the mean of its divisors is an integer number (2070788150250).

Almost surely, 2^{101001022000200} is an apocalyptic number.

101001022000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001022000200 is an abundant number, since it is smaller than the sum of its proper divisors (296590302847800).

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

101001022000200 is a wasteful number, since it uses less digits than its factorization.

101001022000200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2671984741 (or 2671984726 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101001022000200 its reverse (2000220100101), we get a palindrome (103001242100301).

The spelling of 101001022000200 in words is "one hundred one trillion, one billion, twenty-two million, two hundred", and thus it is an aban number.