10200011222100 has 288 divisors, whose sum is σ = 36727449292800. Its totient is φ = 2132561088000.

The previous prime is 10200011221997. The next prime is 10200011222113. The reversal of 10200011222100 is 122211000201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3250476 + ... + 5564675.

It is an arithmetic number, because the mean of its divisors is an integer number (127525865600).

Almost surely, 2^{10200011222100} is an apocalyptic number.

10200011222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200011222100 is an abundant number, since it is smaller than the sum of its proper divisors (26527438070700).

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

10200011222100 is a wasteful number, since it uses less digits than its factorization.

10200011222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8815223 (or 8815216 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10200011222100 its reverse (122211000201), we get a palindrome (10322222222301).

The spelling of 10200011222100 in words is "ten trillion, two hundred billion, eleven million, two hundred twenty-two thousand, one hundred".