102101011211120 has 40 divisors (see below), whose sum is σ = 238102025904240. Its totient is φ = 40717019566080.

The previous prime is 102101011211081. The next prime is 102101011211131. The reversal of 102101011211120 is 21112110101201.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 102101011211095 and 102101011211104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1927862705 + ... + 1927915664.

It is an arithmetic number, because the mean of its divisors is an integer number (5952550647606).

Almost surely, 2^{102101011211120} is an apocalyptic number.

102101011211120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101011211120 is an abundant number, since it is smaller than the sum of its proper divisors (136001014693120).

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

102101011211120 is a wasteful number, since it uses less digits than its factorization.

102101011211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3855778713 (or 3855778707 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 102101011211120 its reverse (21112110101201), we get a palindrome (123213121312321).

The spelling of 102101011211120 in words is "one hundred two trillion, one hundred one billion, eleven million, two hundred eleven thousand, one hundred twenty".