101210000201100 has 216 divisors, whose sum is σ = 362565109452000. Its totient is φ = 23133178506240.

The previous prime is 101210000201069. The next prime is 101210000201159. The reversal of 101210000201100 is 1102000012101.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 313912776 + ... + 314235024.

Almost surely, 2^{101210000201100} is an apocalyptic number.

101210000201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101210000201100 is an abundant number, since it is smaller than the sum of its proper divisors (261355109250900).

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

101210000201100 is a wasteful number, since it uses less digits than its factorization.

101210000201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372129 (or 372119 counting only the distinct ones).

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

Adding to 101210000201100 its reverse (1102000012101), we get a palindrome (102312000213201).

The spelling of 101210000201100 in words is "one hundred one trillion, two hundred ten billion, two hundred one thousand, one hundred".