102201001011000 has 96 divisors (see below), whose sum is σ = 345439383447600. Its totient is φ = 27253600267200.

The previous prime is 102201001010993. The next prime is 102201001011007. The reversal of 102201001011000 is 110100102201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102201001010993) and next prime (102201001011007).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201001011007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5677824390 + ... + 5677842389.

Almost surely, 2^{102201001011000} is an apocalyptic number.

102201001011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201001011000 is an abundant number, since it is smaller than the sum of its proper divisors (243238382436600).

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

102201001011000 is a wasteful number, since it uses less digits than its factorization.

102201001011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11355666806 (or 11355666789 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 102201001011000 its reverse (110100102201), we get a palindrome (102311101113201).

The spelling of 102201001011000 in words is "one hundred two trillion, two hundred one billion, one million, eleven thousand".