101202200011000 has 128 divisors (see below), whose sum is σ = 261880544352960. Its totient is φ = 36296679168000.

The previous prime is 101202200010991. The next prime is 101202200011009. The reversal of 101202200011000 is 110002202101.

It is an interprime number because it is at equal distance from previous prime (101202200010991) and next prime (101202200011009).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101202200011009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 62212069 + ... + 63818068.

Almost surely, 2^{101202200011000} is an apocalyptic number.

101202200011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101202200011000 is an abundant number, since it is smaller than the sum of its proper divisors (160678344341960).

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

101202200011000 is a wasteful number, since it uses less digits than its factorization.

101202200011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126030242 (or 126030228 counting only the distinct ones).

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

Adding to 101202200011000 its reverse (110002202101), we get a palindrome (101312202213101).

The spelling of 101202200011000 in words is "one hundred one trillion, two hundred two billion, two hundred million, eleven thousand".