102101101211000 has 128 divisors (see below), whose sum is σ = 255244735699200. Its totient is φ = 38113466371200.

The previous prime is 102101101210957. The next prime is 102101101211017. The reversal of 102101101211000 is 112101101201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38829554 + ... + 41375553.

It is an arithmetic number, because the mean of its divisors is an integer number (1994099497650).

Almost surely, 2^{102101101211000} is an apocalyptic number.

102101101211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101101211000 is an abundant number, since it is smaller than the sum of its proper divisors (153143634488200).

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

102101101211000 is a wasteful number, since it uses less digits than its factorization.

102101101211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80205214 (or 80205200 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 102101101211000 its reverse (112101101201), we get a palindrome (102213202312201).

It can be divided in two parts, 102101 and 101211000, that added together give a palindrome (101313101).

The spelling of 102101101211000 in words is "one hundred two trillion, one hundred one billion, one hundred one million, two hundred eleven thousand".